Information on Result #879973
Linear OOA(25619, 4194301, F256, 2, 7) (dual of [(4194301, 2), 8388583, 8]-NRT-code), using OOA 2-folding based on linear OA(25619, 8388602, F256, 7) (dual of [8388602, 8388583, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(25619, large, F256, 7) (dual of [large, large−19, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(25621, 4194302, F256, 2, 7) (dual of [(4194302, 2), 8388583, 8]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(25620, 4194301, F256, 2, 7) (dual of [(4194301, 2), 8388582, 8]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(1638, 8388602, F16, 2, 7) (dual of [(8388602, 2), 16777166, 8]-NRT-code) | [i] | Trace Code for OOAs | |
| 4 | Linear OOA(25622, 4194558, F256, 2, 7) (dual of [(4194558, 2), 8389094, 8]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(25623, 4259838, F256, 2, 7) (dual of [(4259838, 2), 8519653, 8]-NRT-code) | [i] | ||
| 6 | Linear OOA(25624, 4325638, F256, 2, 7) (dual of [(4325638, 2), 8651252, 8]-NRT-code) | [i] | ||
| 7 | Linear OOA(25625, 8388602, F256, 2, 7) (dual of [(8388602, 2), 16777179, 8]-NRT-code) | [i] | ||
| 8 | Linear OOA(25659, 8388602, F256, 2, 14) (dual of [(8388602, 2), 16777145, 15]-NRT-code) | [i] | ||
| 9 | Linear OOA(25662, 8388602, F256, 2, 15) (dual of [(8388602, 2), 16777142, 16]-NRT-code) | [i] | ||